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Finding the Fourth Proportional to 27,134.68, 40,695.64 and 7,408.54

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Solution

The fourth proportional to 27,134.68, 40,695.64 and 7,408.54 is: 11,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134.68 : 40,695.64 = 7,408.54 : x
  2. Step 2: Convert to fraction form
    27,134.68/40,695.64 = 7,408.54/x
  3. Step 3: Cross multiply
    27,134.68x = 40,695.64 × 7,408.54
  4. Step 4: Simplify right side
    27,134.68x = 301,495,276.77
  5. Step 5: Solve for x
    x = 301,495,276.77/27,134.68
  6. Step 6: Final answer
    x = 11,111.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.